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Finding the Fourth Proportional to 3,454.84, 5,179.83 and 1,722.25

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Solution

The fourth proportional to 3,454.84, 5,179.83 and 1,722.25 is: 2,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.84 : 5,179.83 = 1,722.25 : x
  2. Step 2: Convert to fraction form
    3,454.84/5,179.83 = 1,722.25/x
  3. Step 3: Cross multiply
    3,454.84x = 5,179.83 × 1,722.25
  4. Step 4: Simplify right side
    3,454.84x = 8,920,962.22
  5. Step 5: Solve for x
    x = 8,920,962.22/3,454.84
  6. Step 6: Final answer
    x = 2,582.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.